Effects of astigmatic aberration in holographic generation of Laguerre-Gaussian beam

Atsushi Wada; Yoko Miyamoto; Takumi Ohtani; Noboru Nishihara; Mitsuo Takeda

doi:10.1117/12.517961

6 October 2003 Effects of astigmatic aberration in holographic generation of Laguerre-Gaussian beam

Atsushi Wada, Yoko Miyamoto, Takumi Ohtani, Noboru Nishihara, Mitsuo Takeda

Proceedings Volume 5137, International Conference on Lasers, Applications, and Technologies 2002: Advanced Lasers and Systems; (2003) https://doi.org/10.1117/12.517961
Event: International Conference on Lasers, Applications, and Technologies 2002, 2002, Moscow, Russian Federation

Abstract

The Laguerre-Gaussian (LG) beam is an optical beam with a phase singularity that propagates along its axis. We have studied the effect of astigmatnic aberration on LG beams through numerical simulation and experiment. An LG beam with astigmatic aberration can undergo various transformations. An LG beam with astigmatic aberration can be expanded in terms of Hermite-Gaussian (HG) beams whose horizontal and vertical axes are aligned with the axes of the astigmatism. By redefining the expansion coefficients to include the Gouy phase of the HG beams, the coefficients can be reduced to a single parameter that depends on the propagation distance. It can be shown that the various transformations of the LG beam is governed by this parameter. This presents us with a simple method of estimation the beam profile and positions of the split phase singularities at any given propagation distance. The estimations show good agreement with intensity and phase distributions calculated with the angular spectrum method.

Citation Download Citation

Atsushi Wada, Yoko Miyamoto, Takumi Ohtani, Noboru Nishihara, and Mitsuo Takeda "Effects of astigmatic aberration in holographic generation of Laguerre-Gaussian beam", Proc. SPIE 5137, International Conference on Lasers, Applications, and Technologies 2002: Advanced Lasers and Systems, (6 October 2003); https://doi.org/10.1117/12.517961

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available